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Journal articles on the topic 'Errore geometrico'

Author: Grafiati

Published: 10 March 2023

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1

Hoang, Trung Kien, and Nguyen Minh Duc Ta. "Machining Based Geometric Error Estimation Method for 3-Axis CNC Machine." Applied Mechanics and Materials 889 (March 2019): 469–74. http://dx.doi.org/10.4028/www.scientific.net/amm.889.469.

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Computer numerical control (CNC) machine tool plays an extremely significant role in any manufacturing industry due to its automation and high accuracy. Keeping the CNC machine tool at its highest performance to meet the demand of high accuracy machining is always significant. To maintain the accuracy of a machine tool over the time, it is important to measure and compensate the geometric error, one of the main error source of machine tool, especially when the machine get old. There are totally 21 geometrical errors in a 3-axis machine tool including three translational errors and three rotati

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2

Liu, Junfeng, Yuqian Zhao, Tao Lai, Fei Li, and Kexian Liu. "Identification of Geometrical Error on Multi-Axis Machine Tools Based on a Laser Tracker." Journal of Physics: Conference Series 2185, no. 1 (2022): 012008. http://dx.doi.org/10.1088/1742-6596/2185/1/012008.

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Abstract The geometrical errors are affected by many factors for a multi-axis machine tool, such as materials, manufacturing, assembly, measurement, control, and environmental. The geometric error will eventually be reflected in the accuracy of the workpiece; therefore, for each part of the machine tool, the measurement of geometric error is essential. Most geometrical errors are measured separately for each axis. The single geometrical error measurement method is time-consuming. The multiple geometric error measurement methods have some limitations based on different instruments. Laser tracke

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3

Jian, Yi, Qian Qian Li, Hong Cheng, Bin Wu Lai, and Jian Fei Zhang. "Research on Geometric Error Compensating Technique of CNC P3G Grinding Machine." Advanced Materials Research 462 (February 2012): 287–94. http://dx.doi.org/10.4028/www.scientific.net/amr.462.287.

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Kinematic accuracy is a key reason which influence workpiece's geometric error precision on traditional working process of precisely CNC（Computerized Numerical Control）P3G（polygon profile with 3 lobes） grinding machine. A systematic geometric error model has been presented for CNC P3G grinding machine， proposed multi-body system theory integrate with the structure of CNC P3G grinding machine tools, researched on the machine's space geometric errors. By means of separate geometric errors from the machine tools, build geometric mathematical error model. Then, identify 21 error parameters through

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4

Jiang, Chuang, Huiliang Wang, Tianhao Han, and Xing Liu. "Simulation and Compensation of Axial Geometric Errors for Cycloidal Gears Based on Form Grinding." Mathematical Problems in Engineering 2022 (April 21, 2022): 1–16. http://dx.doi.org/10.1155/2022/4804498.

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To increase quality, reduce cycloidal gear noise, and avoid unnecessary vibration and shock, a compensation of axial geometric errors method is proposed based on the cycloidal gear form grinding. In the process of machining cycloidal gears, the relative position relationship between the grinding wheel and workpiece is affected by geometric errors of the motion axes, which has serious effects on the surface accuracy of the cycloidal gears. Combined with cycloidal gear form grinding kinematic principles, a geometric error model for each axis of a four-axis computer numerical control form grindin

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5

Yu, Yongjian, Guoding Chen, Jishun Li, Yujun Xue, and Bitao Pang. "Prediction Method for the Radial Runout of Inner Ring in Cylindrical Roller Bearings." Mathematical Problems in Engineering 2017 (2017): 1–13. http://dx.doi.org/10.1155/2017/6584561.

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The motion error of assembled bearing depends on the geometric profile of bearing components. Therefore, it is crucial to establish the relationship between geometric error of bearing components and motion error of assembled bearing, which contributes to improving the rotational accuracy of assembled bearing in the design and machining of the bearing. The main purpose of this research is to propose an accurate method for predicting the radial runout of inner ring based on the geometrical constraint model of cylindrical roller bearings. In the geometrical constraint model, dimension and form er

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6

Conte, Javier, Jorge Santolaria, Ana Cristina Majarena, Agustin Brau, and Juan Jose Aguilar Martín. "Laser Tracker Error Modeling and Kinematic Calibration Strategy." Key Engineering Materials 615 (June 2014): 63–69. http://dx.doi.org/10.4028/www.scientific.net/kem.615.63.

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Calibration of Laser Tracker systems is based most times in the determination of its geometrical errors. Some standards as the ASME B89.4.19 [1] and the VDI 2617-10 [2] describe different tests to calculate the geometric misalignments that cause systematic errors in Laser Tracker measurements. These errors are caused not only because of geometrical misalignments and other sources of error must also be taken in count. In this work we want to state the errors in a kinematic form. Errors will be split in two different components, geometric and kinematic errors. The first ones depend on the offset

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7

Gu¨ven, H. M., and R. B. Bannerot. "Derivation of Universal Error Parameters for Comprehensive Optical Analysis of Parabolic Troughs." Journal of Solar Energy Engineering 108, no. 4 (1986): 275–81. http://dx.doi.org/10.1115/1.3268106.

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A study is presented where potential optical errors in parabolic troughs are divided into two groups: random and nonrandom. It is shown that the intercept factor is a function of both random and nonrandom errors as well as geometric parameters such as concentration ratio and rim angle. Three error parameters, universal to all collector geometries, that is, “universal” error parameters which combine random and nonrandom errors with collector geometric parameters, are derived analytically. The mathematical derivation of these universal error parameters is presented. A numerical technique, a deta

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8

Wang, Xiu Shan, Yan Li, and Yong Chang Yu. "Study of the Geometrical Error Modeling of NC Lathe Based on Multi-Body System Theory." Advanced Materials Research 139-141 (October 2010): 1093–96. http://dx.doi.org/10.4028/www.scientific.net/amr.139-141.1093.

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The geometrical error modeling of the numerically controlled (NC) lathe is the key technique to kinematics design, precision analysis and error compensation. The study gives out the modeling process of the generally geometrical error model based on the multi-body system theory for the multi-axis NC machine tools. By the multi-system theory, using the low series body arrays to describe the complex mechanical system, the article has finished the geometrical error modeling of the numerically controlled lathe, analyzed the influence on the model of error of perpendicularity between the linear axes

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9

Utami, Ratih Ayu. "Analisis Kesalahan Siswa SMP dalam Menyelesaikan Soal Bangun Ruang." MATHEdunesa 9, no. 3 (2020): 487–94. http://dx.doi.org/10.26740/mathedunesa.v9n3.p487-494.

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This study aims to: (1) describe the location of the students' mistakes in solving geometrical problems, (2) to describe the students' mistakes in solving geometrical problems, and (3) to describe the factors that cause students' errors in solving geometric problems. This research is a qualitative study using test and interview methods and was conducted at SMP Negeri 21 Surabaya. Selection of subjects based on criteria, namely students who made many mistakes on indicators of the location and type of error, variation of errors, openness and fluency of the subject to communicate during the inter

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10

Yu, Yongjian, Guoding Chen, Jishun Li, and Yujun Xue. "Influence of Geometric Error of Rollers on Rotational Accuracy of Cylindrical Roller Bearings." Xibei Gongye Daxue Xuebao/Journal of Northwestern Polytechnical University 37, no. 4 (2019): 774–84. http://dx.doi.org/10.1051/jnwpu/20193740774.

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As the rotation of roller bearings is carried out under geometrical constraint of the inner ring, outer ring and multiple rollers, the motion error of the bearing should also be resulted from geometric errors of bearing parts. Therefore, it is crucial to establish the relationship between geometric errors of bearing components and motion error of assembled bearing, which contributes to improve rotational accuracy of assembled bearing in the design and machining of the bearing. For this purpose, considering roundness error and dimension error of the inner raceway, the outer raceway and rollers,

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11

Mikó, Balázs, Bálint Varga, and Wojciech Zębala. "The Effect of the Feed Direction on the Micro- and Macro Accuracy of 3D Ball-end Milling of Chromium-Molybdenum Alloy Steel." Materials 12, no. 24 (2019): 4038. http://dx.doi.org/10.3390/ma12244038.

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The machining of free form surfaces is one of the most challenging problems in the field of metal cutting technology. The produced part and machining process should satisfy the working, accuracy, and financial requirements. The accuracy can describe dimensional, geometrical, and surface roughness parameters. In the current article, three of them are investigated in the case of the ball-end milling of a convex and concave cylindrical surface form 42CrMo4 steel alloy. The effect of the tool path direction is investigated and the other cutting parameters are constant. The surface roughness and th

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12

Fu, Guoqiang, Yue Zheng, Sipei Zhu, et al. "A four parallel laser-based simultaneous measurement method for 6-degrees-of-freedom errors of rigid body with translational motion." Review of Scientific Instruments 93, no. 8 (2022): 085101. http://dx.doi.org/10.1063/5.0081682.

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The measurement of six-degrees-of-freedom (6-DOF) errors of rigid bodies can show the real and accurate spatial pose of those rigid bodies. It plays a major role in precision calibration, spacecraft docking, machining, assembly, etc. In this paper, a four parallel laser-based simultaneous measurement (FPL-SM) method is proposed for measuring 6-DOF errors of rigid bodies with translational motion. First, a FPL-SM device is introduced. Its four laser heads form a rectangle, which is perpendicular to the movement direction of the measured linear displacement. Second, identification formulas for a

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13

Chen, Peng, and Huang. "A New Error Model and Compensation Strategy of Angle Encoder in Torsional Characteristic Measurement System." Sensors 19, no. 17 (2019): 3772. http://dx.doi.org/10.3390/s19173772.

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For systems of measurement, geometric errors such as manufacturing and assembly errors could have a significant impact on the accuracy of the angle encoders of the system. In this study, an error model of angular measurement with geometric errors of a torsional characteristic measurement system was developed based on multibody system theory, the aim of which was to reveal the impact of geometric errors on angular measurement and to compensate the measurement error. According to the principle of spatial error transfer, the decomposition of geometric errors is illustrated and the error matrix of

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14

Guo, Shijie, Dongsheng Zhang, and Yang Xi. "Global Quantitative Sensitivity Analysis and Compensation of Geometric Errors of CNC Machine Tool." Mathematical Problems in Engineering 2016 (2016): 1–12. http://dx.doi.org/10.1155/2016/2834718.

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A quantitative analysis to identify the key geometric error elements and their coupling is the prerequisite and foundation for improving the precision of machine tools. The purpose of this paper is to identify key geometric error elements and compensate for geometric errors accordingly. The geometric error model of three-axis machine tool is built on the basis of multibody system theory; and the quantitative global sensitivity analysis (GSA) model of geometric error elements is constructed by using extended Fourier amplitude sensitivity test method. The crucial geometric errors are identified;

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15

Fomin, A. A. "Limiting Product Surface and its Use in Profile Milling Design Operations." Solid State Phenomena 265 (September 2017): 672–78. http://dx.doi.org/10.4028/www.scientific.net/ssp.265.672.

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The article establishes the analytical relationships linking the geometric parameters of the shaping cutters. A mathematical model describing the geometrical errors caused by the discrete process of product profile milling with shaping cutters was developed. It was specified based on the model that the distribution of errors on the surface treated with cylindrical and shaping cutters is significantly different. It is found that the errors due to the kinematics of the cylindrical milling process, are constant at value irrespectively of the considered cross section of the cutting tooth, and the

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16

Li, Dianxin, Pingfa Feng, Jianfu Zhang, Dingwen Yu, and Zhijun Wu. "An identification method for key geometric errors of machine tool based on matrix differential and experimental test." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 228, no. 17 (2014): 3141–55. http://dx.doi.org/10.1177/0954406214527272.

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This paper presents a key geometric errors identification method for machine tools based on matrix differential and experimental test. An error model for a machine tool was established by regarding the three-axis machining center as a multi-body system. The sensitivity coefficients of the machining error with respect to the geometric errors were determined using the matrix differential method, and the degree of influence of the geometric errors on the machining accuracy under ideal conditions was discussed. Using the 12-line method, 21 geometric errors of the machine tool were identified, allo

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17

Zou, Xicong, Xuesen Zhao, Zongwei Wang, Guo Li, Zhenjiang Hu, and Tao Sun. "Error Distribution of a 5-Axis Measuring Machine Based on Sensitivity Analysis of Geometric Errors." Mathematical Problems in Engineering 2020 (February 14, 2020): 1–15. http://dx.doi.org/10.1155/2020/8146975.

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Geometric errors are inevitably introduced into any multiaxis measuring system, and the geometric error is one of the main factors that seriously affects the measurement accuracy. The present work investigates the error distribution of the prototype of a 5-axis measuring machine based on sensitivity analysis of geometric errors. The measurement error modeling of the 5-axis measuring machine is first established via the homogeneous coordinate transformation, and the Sobol global sensitivity analysis method is then employed to quantify the influence of geometric errors on the measurement result

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18

PARK, SUNG-RYUNG, and SEUNG-HAN YANG. "DESIGN OF A 5-AXIS MACHINE TOOL CONSIDERING GEOMETRIC ERRORS." International Journal of Modern Physics B 24, no. 15n16 (2010): 2484–89. http://dx.doi.org/10.1142/s0217979210065131.

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Control over scale, dynamic, environment, and geometric errors in 5-axis machine tool are required to realize a high precision machine tool. Especially geometric errors such as translational, rotational, offset, and squareness errors are important factors which should be considered in the design stages of the machine tool. In this paper, geometric errors are evaluated for different configurations of 5-axis machine tool, namely, 1) table tilting, 2) head tilting, and 3) universal and their error synthesis models are derived. The proposed model is different from the conventional error synthesis

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19

Guo, Shijie, Shufeng Tang, and Dongsheng Zhang. "A Recognition Methodology for the Key Geometric Errors of a Multi-Axis Machine Tool Based on Accuracy Retentivity Analysis." Complexity 2019 (November 22, 2019): 1–21. http://dx.doi.org/10.1155/2019/8649496.

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This paper proposes a recognition methodology for key geometric errors using the feature extraction method and accuracy retentivity analysis and presents the approach of optimization compensation of the geometric error of a multiaxis machine tool. The universal kinematics relations of the multiaxis machine tool are first modelled mathematically based on screw theory. Then, the retentivity of geometric accuracy with respect to the geometric error is defined based on the mapping between the constitutive geometric errors and the time domain. The results show that the variation in the spatial erro

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20

Zhao, Zhi Su, and Xing Hua Zhang. "Geometric Curve Design Method of Fuzzy Reliability Based on Random Processing Errors." Advanced Materials Research 199-200 (February 2011): 72–77. http://dx.doi.org/10.4028/www.scientific.net/amr.199-200.72.

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In order to foresee the influence of random processing errors on geometric curve in design stage, meanwhile including success and failure process during the gradual change process in the forecast. Based on probabilistic fuzzy reliability point of view, the success or failure determination will be extended to fuzzy events. The geometric curve deign method will be also given when taking the impact of random engineering error into account. Related analysis formulae and the fuzzy criterion of success or failure of designing the curve process are established and derived. Through which, design and e

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21

Ding, Wenzheng, Zhanqun Song, and Shuang Ding. "Investigation on Structural Mapping Laws of Sensitive Geometric Errors Oriented to Remanufacturing of Three-Axis Milling Machine Tools." Machines 10, no. 5 (2022): 341. http://dx.doi.org/10.3390/machines10050341.

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Three-axis milling machine tools are widely used in manufacturing enterprises, and they have enormous potential demands for remanufacturing to improve their performance. During remanufacturing a three-axis milling machine tool, the structure needs to be reconstructed, so it is necessary to identify sensitive geometric errors of the remanufactured machine tool. In the traditional sensitive geometric error identification method, complex error modeling and analysis must be conducted. Therefore, professional knowledge is required, and the process of the identification is cumbersome. This paper foc

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22

Saragih, Agung-Shamsuddin, and Tae-Jo Ko. "SUM OF SINUSOIDAL PLUS NOISE MODEL TO EXTRACT COMPONENT ERROR FROM A DOUBLE BALLBAR MEASUREMENT ERROR MAP." Transactions of the Canadian Society for Mechanical Engineering 37, no. 3 (2013): 817–27. http://dx.doi.org/10.1139/tcsme-2013-0069.

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The double ballbar (DBB) test, which captures actual data from multiple error origins of axes interaction, was defined as sinusoid error map model plus noise. When the number of sinusoids is the same as the number of individual errors of moving axis in the test map, we can extract a single source geometric error value from the DBB error map by modeling the well-known geometric error of linear axis. We considered the “noise” as mixed errors from other sources than geometric errors. This method is applicable to both a full circle and a truncated DBB test path.

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23

Yin, Song, Haibo Zhou, Xia Ju, and Zhiqiang Li. "Vision-based measurement for decoupling identification of geometric errors of rotating axes for five-axis platform." Measurement Science and Technology 33, no. 4 (2022): 045007. http://dx.doi.org/10.1088/1361-6501/ac46f1.

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Abstract In this paper, a method for identifying and decoupling geometric errors of rotation axes using vision measurement is proposed. Based on screw theory and exponential product formula, identification equations of position-dependent geometric errors (PDGEs) and position-independent geometric errors (PIGEs) of the rotation axes are established. The mapping relationships between the error twist and geometric errors are established. The error model provides the coupling mechanism of PDGEs and PIGEs. Furthermore, a progressive decoupling method is proposed to separate PDGEs and PIGEs without

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24

Liang, Gui Qiang, Jun Xian Zhang, and Fei Fei Zhao. "Geometric Error Modeling of a Vertical Machining Center." Advanced Materials Research 694-697 (May 2013): 1842–45. http://dx.doi.org/10.4028/www.scientific.net/amr.694-697.1842.

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The effect of geometric error on machining accuracy was researched by multi-body system theory, as well as homogeneous coordinate transformation method. Taking a vertical machining center as example, topological structure of the machine tool was described by lower body array. Lower body array of the machining center, motion freedom between adjacent bodies and geometric errors of the vertical machining center were analyzed. Geometric errors of the bodies in the multi-body system were expressed by homogeneous coordinate transformation. Error model for machining accuracy was deduced and geometric

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25

Fiorentino, Antonio, G. C. Feriti, Elisabetta Ceretti, C. Giardini, C. M. G. Bort, and P. Bosetti. "Development of Tool Path Correction Algorithm in Incremental Sheet Forming." Key Engineering Materials 622-623 (September 2014): 382–89. http://dx.doi.org/10.4028/www.scientific.net/kem.622-623.382.

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The problem of obtaining sound parts by Incremental Sheet Forming is still a relevant issue, despite the numerous efforts spent in improving the toolpath planning of the deforming punch in order to compensate for the dimensional and geometrical part errors related to springback and punch movement. Usually, the toolpath generation strategy takes into account the variation of the toolpath itself for obtaining the desired final part with reduced geometrical errors. In the present paper, a correction algorithm is used to iteratively correct the part geometry on the basis of the measured parts and

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26

Kwintarini, Widyanti, Agung Wibowo, and Yatna Yuwana Martawirya. "Mathematical Approach for Geometric Error Modeling of Three Axis CNC Vertical Milling Machine." Applied Mechanics and Materials 842 (June 2016): 303–10. http://dx.doi.org/10.4028/www.scientific.net/amm.842.303.

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The aim of this paper overviews about to find out the errors that come from three axis CNC vertical milling machine. The errors come from, the CNC milling machine can be modelled into mathematical models and later on these error models will be used to analyse the errors in the measured data. Many errors from CNC machine tools have given significant effects toward the accuracy and repeatability of manufacturing process. There are two error sources come from CNC machine tools such as tool deflection and thermal distortions of machine tool structure. These errors later on will contribute to resul

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27

Tan, Kok Kiong, and Sunan Huang. "Geometrical error compensation of machines with significant random errors." ISA Transactions 44, no. 1 (2005): 43–53. http://dx.doi.org/10.1016/s0019-0578(07)60044-5.

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28

Wang, Wei, Yi Zhang, and Jian Guo Yang. "Modeling of Compound Errors for CNC Machine Tools." Advanced Materials Research 472-475 (February 2012): 1796–99. http://dx.doi.org/10.4028/www.scientific.net/amr.472-475.1796.

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In this paper, a synthesis modeling method of geometric and thermal error is presented. Through the analysis of machine error data at varying temperatures, the error distribution rule is obtained. Based on the different characteristics of geometric error and thermal error, error separation method has been carried out in the modeling. Using polynomial fitting for geometric error and linear fitting for thermal error, a synthesis mathematical model has been proposed. This error compensation method concerns the variations of geometric errors at different temperatures in the machine working, thus a

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29

Kenno, Takaaki, Ryuta Sato, Keiichi Shirase, Shigemasa Natsume, and Henny Spaan. "Identification Method of Error Motions and Geometric Errors of a Rotary Axis by R-Test." International Journal of Automation Technology 14, no. 3 (2020): 399–408. http://dx.doi.org/10.20965/ijat.2020.p0399.

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While evaluating the accuracy of high-precision machine tools, it is critical to reduce the error factors contributing to the measured results as much as possible. This study aims to evaluate both the error motions and geometric errors of the rotary axis without considering the influence of motion error of the linear axis. In this study, only the rotary axis is moved considering two different settings of a reference sphere, and the linear axes are not moved. The motion accuracy of the rotary axis is measured using the R-test device, both the error motions and geometric errors of the rotary axi

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30

Liao, Te-Tan, Shih-Hung Chen, Kuo-Ying Chen, and Chun-Ta Chen. "SKEW RAY TRACING AND ERROR ANALYSIS OF OPTICAL LENS WITH CYLINDRICAL BOUNDARY SURFACE." Transactions of the Canadian Society for Mechanical Engineering 33, no. 2 (2009): 297–314. http://dx.doi.org/10.1139/tcsme-2009-0022.

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This study applies computational geometric algebra based on a 4 × 4 homogeneous transformation matrix and Snell’s law of geometrical optics to analyze skew rays and the errors of a light ray’s path as it passes through a cylindrical lens. The author addresses two important topics: (1) the determination of the direction of a reflected or refracted ray by Snell’s law and (2) the expression of the combination of two principal sources of light path error using error analysis. In topic (2), one of the sources is the translational errors Δdix, Δdiy, and Δdiz and the rotational errors Δωix, Δωiy, and

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31

Feng, Xingxing, Haihua Sun, Tianqi Lv, and Yunqing Zhang. "Kinematic analysis of a PPPR spatial serial mechanism with geometric errors." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 234, no. 1 (2018): 225–40. http://dx.doi.org/10.1177/0954406218809124.

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The present study focuses on the kinematic analysis of a PPPR spatial serial mechanism with a large number of geometric errors. The study is implemented in three steps: (1) development of a map between the end-effector position error and geometric source errors within the serial mechanism kinematic chains using homogeneous transformation matrix; (2) selection of geometric errors which have significant effects on end-effector positioning accuracy by sensitivity analysis; (3) kinematic analysis of the serial mechanism within which the geometric errors are modelled as interval variables. The comp

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Wang, Wei Qing, and Huan Qin Wu. "Sensitivity Analysis of Geometric Errors for Five-Axis CNC Machine Tool Based on Multi-Body System Theory." Applied Mechanics and Materials 271-272 (December 2012): 493–97. http://dx.doi.org/10.4028/www.scientific.net/amm.271-272.493.

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Abstract: In order to determine that the effect of geometric error to the machining accuracy is an important premise for the error compensation, a sensitivity analysis method of geometric error is presented based on multi-body system theory in this paper. An accuracy model of five-axis machine tool is established based on multi-body system theory, and with 37 geometric errors obtained through experimental verification, key error sources affecting the machining accuracy are finally identified by sensitivity analysis. The analysis result shows that the presented method can identify the important

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33

Choudhuri, S. A., and E. C. De Meter. "Tolerance Analysis of Machining Fixture Locators." Journal of Manufacturing Science and Engineering 121, no. 2 (1999): 273–81. http://dx.doi.org/10.1115/1.2831216.

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The geometric variability of locators within a machining fixture is a known source of datum establishment error and machined feature geometric error. A locator tolerance is used to specify the range of permissible locator variation. Currently there are no models that relate a locator tolerance scheme to the worst case geometric errors that may result due to datum establishment error. This paper presents a methodology for modeling and analyzing the impact of a locator tolerance scheme on the potential datum related, geometric errors of linear, machined features. This paper also provides a simul

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Liu, Xiaojian, Yang Wang, Lemiao Qiu, Chenrui Wu, Peng Zhang, and Shuyou Zhang. "An improved geometric error analysis method considering the variety of sensitivities over working space." Advances in Mechanical Engineering 10, no. 8 (2018): 168781401879238. http://dx.doi.org/10.1177/1687814018792389.

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Machine tool accuracy analysis has become increasingly important since accuracy as the major parameter of a machine is to a large extent determined by geometric accuracy design. In order to improve the comprehensiveness and veracity of geometric accuracy design, this article proposes an improved geometric error analysis method considering the variety of sensitivities over working space. A multi-rigid-body model which includes cutting tool’s wear-out error and workpiece’s clamping error is established to represent the position relationship of machine tool’s working components. The expression of

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35

Wan, Peng, Jun Jie Guo, and Hai Tao Li. "Study on the Method of Error Identification and Compensation for Gear Measuring Center." Advanced Materials Research 482-484 (February 2012): 1821–28. http://dx.doi.org/10.4028/www.scientific.net/amr.482-484.1821.

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Gear Measuring Center(GMC) is commonly used to test error of the tooth surface of the gear, whose geometric accuracy directly impacts on the accuracy of measurement. How to quickly and accurately detect space geometric error of the measuring machine and compensate becomes the essential means of high-precision measurements. According to the problem above, in the paper, three-beams laser detection technology is proposed. The detection of the geometric errors of the linear axis was achieved. The accurate measurement for the position and attitude of the plane mirror on measurement seat was achieve

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Li, Pengzhong, Ruihan Zhao, and Liang Luo. "A Geometric Accuracy Error Analysis Method for Turn-Milling Combined NC Machine Tool." Symmetry 12, no. 10 (2020): 1622. http://dx.doi.org/10.3390/sym12101622.

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Turn-Milling Combined NC machine tool is different from traditional machine tools in structure and process realization. As an important means in the design stage, the analysis method of geometric accuracy error is also different from the traditional method. The actual errors and the error compensation values are a pair of "symmetry" data sets which are connected by the movement of machine tools. The authors try to make them more consistent through this work. The geometric error terms were firstly determined by topological structure analysis, then based on homogeneous coordinate transformation

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Song, Zhanqun, Shuang Ding, Zhiwei Chen, Zhongwang Lu, and Zhouzhou Wang. "High-Efficient Calculation Method for Sensitive PDGEs of Five-Axis Reconfigurable Machine Tool." Machines 9, no. 5 (2021): 84. http://dx.doi.org/10.3390/machines9050084.

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Sensitive geometric errors of a machine tool have significant influence on machining accuracy, and it is important to identify them. Complex modeling and analysis must be carried out to identify the sensitive geometric errors of a five-axis machine tool by using the traditional method. Once the configuration structure of the machine tools is reconstructed, repetitive error modeling and analysis are required, and the identification cycle of sensitive geometric errors is long. Therefore, this paper proposes a high-efficient calculation method for sensitive position-dependent geometric error (PDG

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Liang, Gui Qiang, Ai Rong Zhang, and Ting Ting Guo. "The Effect of Geometric Error on Machining Accuracy for Machining Center." Advanced Materials Research 690-693 (May 2013): 3244–48. http://dx.doi.org/10.4028/www.scientific.net/amr.690-693.3244.

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In order to improve machining accuracy of machining center, the effect of geometric error on machining accuracy was researched by multi-body system theory. Taking a vertical machining center as example, topological structure of the machining center was described by lower body array. Geometric errors of the bodies in the multi-body system were expressed by homogeneous coordinate transformation. Error model for machining accuracy was deduced and geometric errors having great influence on the machining accuracy were identified. The research results show that, straightness errors and linear displa

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Ma, Dong, Jiakun Li, Qibo Feng, Qixin He, Yaowen Ding, and Jianying Cui. "Simultaneous Measurement Method and Error Analysis of Six Degrees of Freedom Motion Errors of a Rotary Axis Based on Polyhedral Prism." Applied Sciences 11, no. 9 (2021): 3960. http://dx.doi.org/10.3390/app11093960.

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A novel method is proposed for measuring the six degrees-of-freedom (DOF) geometric motion errors of a rotary axis based on a polyhedral prism. An error-sensitive unit which consists of a polyhedral prism and a planar reflector, is designed to carry out measurement of all six DOF errors, including the angular positioning error, the tilt motion error around the Y axis, the tilt motion error around the X axis, the radial motion error along the X and Y axes, and the axial motion error along the Z axis. The mathematical error model, including the six DOF geometric motion errors of the rotary axis,

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Cheng, Qiang, Dong Sheng Xuan, Jie Sun, and Zhi Feng Liu. "Geometric Errors Sensitivity Analysis of Precision Vertical Machining Center Based on Multi-Body System Theory." Applied Mechanics and Materials 108 (October 2011): 61–66. http://dx.doi.org/10.4028/www.scientific.net/amm.108.61.

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Parts of geometric error coupled into space error is the main reason that affects machining accuracy of machine tools; therefore, how to determine the effect of geometric error to the machining accuracy and then assigning geometry precision of parts economically is a difficult problem in machine tool designing process. Therefore, based on multi-body system theory, a sensitivity analysis method of geometric error is put forward in this paper. Let’s take precision vertical machining center for an example. Firstly, an accuracy model of machining center is established based on multi-body system th

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Базров, Борис, and Boris Bazrov. "Problems in estimate of parts geometrical accuracy." Science intensive technologies in mechanical engineering 2018, no. 4 (2018): 8–12. http://dx.doi.org/10.12737/article_5aacd85793bdc2.44830790.

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The paper reports the analysis of the method for parts geometrical accuracy definition which includes the following stages: part surfaces measurement, a representation of measurement results and their relative position, a definition without errors count and a definition of surface errors. There are shown drawbacks of stages enumerated such as a neglect of measurement base surface errors, an ambiguity of measurement base positions regarding surfaces under control, use of bases of error account and criteria for errors estimate irrespective of surface operation functions. A multi-gradation

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Fan, Jinwei, Peitong Wang, and Zhuang Li. "A novel geometric error identification and prediction approach." MATEC Web of Conferences 363 (2022): 01007. http://dx.doi.org/10.1051/matecconf/202236301007.

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This paper proposed an integrated geometric error identification and prediction method to solve the uncertainty problem of the PDGEs of rotary axis. First, based on homogeneous transform matrix (HTM) and multi-body system (MBS) theory, The transfer matrix only considering the C-axes rotated is derived to the position error model. Then a geometric errors identification of rotary axis is introduced by measuring the error increment in three directions. Meanwhile the geometric errors of C-axis are described as truncated Fourier polynomials caused by fitting discrete values. Thus, The geometric err

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He, G. Y., C. X. Hu, and X. Liu. "Evaluation Modeling and Optimal Adjustment of Position Error Based on Localization Sensitivity Analysis." Materials Science Forum 697-698 (September 2011): 258–61. http://dx.doi.org/10.4028/www.scientific.net/msf.697-698.258.

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Sensitivity analysis is to evaluate how sensitive the surface deviation of a workpiece is to a geometric error of locator. With this thinking, the relationship between geometric error of locators and the position error of holes group is presented. The fixture system errors model and evaluation model of position errors are established. Furthermore with both models, a method of optimizing the position errors by adjusting the locators’ position is presented, which can get to accuracy localization. At last, a simulation study is used to verify the method.

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Liu, Yi Lei, Dong Gao, and Gang Wei Cui. "Volumetric Error Model of Large CNC Machine Tool and Verification Based on Particle Swarm Optimization." Key Engineering Materials 579-580 (September 2013): 76–79. http://dx.doi.org/10.4028/www.scientific.net/kem.579-580.76.

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Volumetric error has large effect on machine tool accuracy; improving CNC machine tool accuracy through error compensation has received significant attention recently. This paper intends to represent volumetric error measurement based on laser tracker. The volumetric error is modeled by homogenous transformation matrix with each coordinate corresponding to each motion axis. Based on parts of spatial points volumetric error, the geometric errors which affect volumetric positioning error are verified through particle swarm optimization with the L2 parameters as the target function. The chebyshev

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He, Zhen Ya, Jian Zhong Fu, and Xin Hua Yao. "Error Modeling and Identification Technology for Circular Path of NC Machine Tools." Applied Mechanics and Materials 278-280 (January 2013): 345–49. http://dx.doi.org/10.4028/www.scientific.net/amm.278-280.345.

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An error mapping modeling and identification technology for the circular path test of NC machine tools is proposed. First, geometric error modeling of the NC machine tool was established and the theory of the laser measurement method was introduced. Then through further analyzing the influence of the geometric errors to circular path deviations, the error items were identified, such as the displacement errors, backlashes and squareness errors. Finally measurement and compensation experiment of circular path was conducted. The experimental results show that the geometric error modeling is feasi

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Li, Xin, Zhi Xiong Zhang, Jian Zhong Shang, and Yu Jun Cao. "Research on Angular Variation for Aeroplane-Assembly Base on State Space Model." Applied Mechanics and Materials 278-280 (January 2013): 149–54. http://dx.doi.org/10.4028/www.scientific.net/amm.278-280.149.

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Abstract. Variation modeling is one of the most significant tools for assembly variation analysis. Considering dimension and geometric errors, and part situation errors, the error source that affects assembly accuracy is classified into two types: error of geometric location and orientation, error of geometric form. And unify these different types of error or deviation by the concept of Virtual Fixture. So a rigid assembly state space model is developed for stream of variation analysis in multi-station assembly processes. And an aeroplane-cabin-assembly process is analyzed in this model. The d

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Lee, Kwang Il, A. G. Nanda Kumar, and Seung Han Yang. "A Novel Measurement System to Evaluate the Six Geometric Errors of Rotary Table." Advanced Materials Research 314-316 (August 2011): 1691–94. http://dx.doi.org/10.4028/www.scientific.net/amr.314-316.1691.

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In this paper, the novel measurement system for estimating the six geometric error of rotary table has been proposed. This system configuration comprising four components namely laser diode, beam splitter, position sensitive detector (PSD) and deflecting mirror. The advantage of this approach is that all six geometric error of rotary table can be evaluated by just measuring four set of points from this system configuration. To estimate the geometric errors, a linear relationship is established mathematically between measurement points and geometric errors. The line equation and plane equation

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Hsu, Chi-Hua, Jr-Rung Chen, Fan-Hsi Hsu, and Yu-Ta Chen. "A Novel Measurement Method for Determining Geometric Errors of Rotary Tables by Using LaserTRACER and Reflectors." Applied Sciences 13, no. 4 (2023): 2419. http://dx.doi.org/10.3390/app13042419.

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In this paper, a novel and robust measurement method is proposed for obtaining the geometric errors of rotary tables by using LaserTRACER and the reflectors mounted on the reflector standard fixture. For the machining accuracy, the six-degree-of-freedom (6-DOF) geometric errors of the rotary axes interactively influence the manufacturing quality of the precise workpieces. Therefore, this paper mainly aims to develop a measurement method for identifying the 6-DOF geometric errors of rotary tables without using the external linear axis. Furthermore, the set-up errors of the reflector standard fi

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Nguyen, Hoai-Nhan, Phu-Nguyen Le, and Hee-Jun Kang. "A new calibration method for enhancing robot position accuracy by combining a robot model–based identification approach and an artificial neural network–based error compensation technique." Advances in Mechanical Engineering 11, no. 1 (2019): 168781401882293. http://dx.doi.org/10.1177/1687814018822935.

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Robot position accuracy plays a very important role in advanced industrial applications. This article proposes a new method for enhancing robot position accuracy. In order to increase robot accuracy, the proposed method models and identifies determinable error sources, for instance, geometric errors and joint deflection errors. Because non-geometric error sources such as link compliance, gear backlash, and others are difficult to model correctly and completely, an artificial neural network is used for compensating for the robot position errors, which are caused by these non-geometric error sou

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Lin, Zixin, Wenjie Tian, Dawei Zhang, Weiguo Gao, and Lina Wang. "A mapping model between the workpiece geometric tolerance and the end pose error of CNC machine tool considering structure distortion of cutting process system." Advances in Mechanical Engineering 13, no. 3 (2021): 168781402110047. http://dx.doi.org/10.1177/16878140211004771.

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Aiming at the problem that the geometric accuracy design index of machine tools is difficult to be determined reasonably in the geometric precision design process of CNC machine tools, this paper presents a mapping model between geometric tolerance of the workpiece and end pose error (positional and orientational error of the tool relative to the workpiece) of the machine tool considering structure distortion of cutting process system. Only considering the factors of the machine tool geometric errors, this paper first establishes the relationship between the geometric tolerance requirements of

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